Finding the Third Proportional to 103,508 and 222,872

Step by Step Solution

1. Step 1: Write the proportion equation
   103,508 : 222,872 = 222,872 : x
2. Step 2: Convert to fraction form
   103,508/222,872 = 222,872/x
3. Step 3: Cross multiply
   103,508x = 222,872 × 222,872
4. Step 4: Simplify right side
   103,508x = 49,671,928,384
5. Step 5: Solve for x
   x = 49,671,928,384/103,508
6. Step 6: Final answer
   x = 479,884.92